What is the Greatest Common Factor of 3785 and 3800?

Greatest common factor (GCF) of 3785 and 3800 is 5.

GCF(3785,3800) = 5

We will now calculate the prime factors of 3785 and 3800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3785 and 3800.

How to find the GCF of 3785 and 3800?

We will first find the prime factorization of 3785 and 3800. After we will calculate the factors of 3785 and 3800 and find the biggest common factor number .

Step-1: Prime Factorization of 3785

Prime factors of 3785 are 5, 757. Prime factorization of 3785 in exponential form is:

3785 = 5¹ × 757¹

Step-2: Prime Factorization of 3800

Prime factors of 3800 are 2, 5, 19. Prime factorization of 3800 in exponential form is:

3800 = 2³ × 5² × 19¹

Step-3: Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1, 5, 757

Step-4: Factors of 3800

List of positive integer factors of 3800 that divides 3785 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3785 and 3800. The biggest common factor number is the GCF number.
So the greatest common factor 3785 and 3800 is 5.

Also check out the Least Common Multiple of 3785 and 3800